The concentration of a biomolecule inside a rod-shaped prokaryotic cell is 0.0037 m. calculate the number of molecules inside the cell, which is 4.1 μm long and 0.9 μm in diameter.

First, let calculate the volume of the rod shaped-bacteria:

S = length of the bacteria * surface of its side = 4.1 * (0.45 *0.45 * 3.14) = 2.6 µm3

Now, let's convert the moles into molecules (with Avogadro's law):

0.0037mol/L = 0.0037 * 6.023 *10^23 = 2.22 *10^21 molecules / L

Now let's convert The volume and the concetrnation into µm3 (molecules / µm3)

1 L = 1 dm3 = 1000 cm3 = 1000000 mm3 = 10^9 µm3

so 2.22 *10^21 molecules / L = 2.22 10^ 12 molecules / µm3

The answer is  2.22 10^ 12 molecules / µm3

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